New Package in Maxima to Build Axonometric Projections from$$\mathbb {R}^{4}$$ to$$\mathbb {R}^{3}$$ and Visualize Objects Immersed in$$\mathbb {R}^{4}$$

Sobrino E.E.; Ipanaqué R.; Velezmoro R.; Mechato J.A. · Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2020) · DOI: 10.1007/978-3-030-58820-5_60

Resumen

The human being has the need to represent the objects that surround him. But the world around us constitutes a three-dimensional reality and the formats in which it is represented are two-dimensional. Then the problem arises of representing on paper, which has two dimensions, any object immersed in a space that has three dimensions. In response to the problem, the Descriptive Geometry and the Representation Systems are born. The representation systems are a set of operations that allow make projections of objects immersed in three-dimensional space on a plane that is usually the role of drawing. A class of these systems are those obtained from axonometric projections of to based on Pohlke’s theorem and widely used in the vast majority of scientific texts. In this paper it is proposed to build axonometric projections from to to obtain projections of objects immersed in the four-dimensional space on a 3D hyperplane. To visualize the results, a new package encoded in the Maxima open source software will be used.

Instituciones: Universidad Privada Antenor Orrego; Universidad Nacional de Piura